The discussion following Example 4 in Section 3.1 sug-gests that the differential equati...

The discussion following Example 4 in Section 3.1 sug-gests that the differential equation y"+ y = 0 could be used to introduce and define the familiar sine and cosine functions. In a similar fashion, the Airy equation

serves to introduce two new special functions that appear in applications ranging from radio waves to molecular vibrations. Derive the first three or four terms of two different power series solutions of the Airy equation. Then verify that your results agree with the formulas

Reference Figure: 3.2.3